Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.3s (26.8%)

Results

1.1s	7221×	256	valid
165.0ms	1033×	256	infinite
0.0ms	1×	256	valid
0.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

Operation ival-add, time spent: 106.0ms, 40.0% of total-time

Operation ival-div, time spent: 81.0ms, 31.0% of total-time

Operation ival-mult, time spent: 64.0ms, 24.0% of total-time

Operation const, time spent: 14.0ms, 5.0% of total-time

Bogosity

preprocess337.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

2916×	`fma-def`
416×	`distribute-rgt-in`
308×	`sub-neg`
280×	`unsub-neg`
262×	`cancel-sign-sub`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (/.f64 x 2) (*.f64 y x))`
-	-	`x`
-	-	`(*.f64 y x)`
-	-	`(/.f64 x 2)`
-	-	`z`
-	-	`2`
-	-	`y`
-	-	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	375
2	274	371
3	804	323
4	1692	297
5	2827	297
6	3301	292
7	3465	292
8	3573	292
9	3608	292
10	3616	276
11	4174	276
12	4174	276
13	4174	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 y (neg.f64 x))) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 (neg.f64 y) x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 y (neg.f64 x))) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x 2) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) (neg.f64 z)))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(fma.f64 x (+.f64 y 1/2) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(+.f64 (/.f64 x 2) (fma.f64 x y z))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(fma.f64 x (+.f64 y 1/2) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 y (neg.f64 x))) z)
(+.f64 z (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 x (neg.f64 y))))
(-.f64 z (fma.f64 x y (/.f64 x 2)))
(+.f64 z (*.f64 x (-.f64 -1/2 y)))
(fma.f64 x (-.f64 -1/2 y) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 (neg.f64 y) x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x (neg.f64 y)) z))
(+.f64 (/.f64 x 2) (fma.f64 y (neg.f64 x) z))
(+.f64 (/.f64 x 2) (-.f64 z (*.f64 x y)))
(-.f64 z (*.f64 x (+.f64 y -1/2)))
(+.f64 z (*.f64 x (-.f64 1/2 y)))
(fma.f64 x (-.f64 1/2 y) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) (neg.f64 z))
(-.f64 (+.f64 (/.f64 x 2) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x 2)) z)
(-.f64 (*.f64 x (-.f64 y -1/2)) z)
(-.f64 (*.f64 x (+.f64 y 1/2)) z)
(neg.f64 (fma.f64 x (-.f64 -1/2 y) z))
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 y (neg.f64 x))) z))
(-.f64 (+.f64 (/.f64 x 2) (*.f64 x y)) z)
(-.f64 (fma.f64 x y (/.f64 x 2)) z)
(-.f64 (*.f64 x (-.f64 y -1/2)) z)
(-.f64 (*.f64 x (+.f64 y 1/2)) z)
(neg.f64 (fma.f64 x (-.f64 -1/2 y) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x 2) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (/.f64 x 2) (+.f64 (*.f64 x (neg.f64 y)) z)))
(-.f64 (/.f64 (neg.f64 x) 2) (fma.f64 y (neg.f64 x) z))
(+.f64 (*.f64 -1/2 x) (fma.f64 x y (neg.f64 z)))
(-.f64 (*.f64 x (+.f64 y -1/2)) z)
(neg.f64 (+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) (neg.f64 z)))
(+.f64 z (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 x (neg.f64 y))))
(-.f64 z (fma.f64 x y (/.f64 x 2)))
(+.f64 z (*.f64 x (-.f64 -1/2 y)))
(fma.f64 x (-.f64 -1/2 y) z)
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 z (+.f64 (*.f64 x y) (/.f64 y 2)))
(+.f64 z (fma.f64 x y (/.f64 y 2)))
(+.f64 z (fma.f64 x y (*.f64 1/2 y)))
(+.f64 z (*.f64 y (+.f64 1/2 x)))
(+.f64 z (*.f64 y (+.f64 x 1/2)))
(fma.f64 y (+.f64 x 1/2) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 x (+.f64 (/.f64 z 2) (*.f64 y z)))
(+.f64 x (fma.f64 y z (/.f64 z 2)))
(+.f64 x (fma.f64 y z (*.f64 1/2 z)))
(+.f64 x (*.f64 z (+.f64 y 1/2)))
(-.f64 x (*.f64 z (-.f64 -1/2 y)))
(fma.f64 z (+.f64 y 1/2) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)
(+.f64 y (+.f64 (/.f64 x 2) (*.f64 x z)))
(+.f64 y (fma.f64 x z (/.f64 x 2)))
(+.f64 (/.f64 x 2) (fma.f64 x z y))
(+.f64 (*.f64 1/2 x) (fma.f64 x z y))
(-.f64 y (*.f64 x (-.f64 -1/2 z)))
(fma.f64 x (+.f64 z 1/2) y)

Compiler

Compiled 72 to 38 computations (47.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

Operation ival-add, time spent: 12.0ms, 43.0% of total-time

Operation ival-div, time spent: 10.0ms, 36.0% of total-time

Operation ival-mult, time spent: 4.0ms, 14.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

prune37.0ms (0.8%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 22 to 15 computations (31.8% saved)

localize64.0ms (1.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 -1/2 y))
✓	100.0%	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

Operation ival-mult, time spent: 7.0ms, 34.0% of total-time

Operation ival-sub, time spent: 5.0ms, 24.0% of total-time

Operation ival-div, time spent: 4.0ms, 20.0% of total-time

Operation ival-add, time spent: 3.0ms, 15.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series10.0ms (0.2%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 x (-.f64 -1/2 y))
1.0ms	y	@	0	(*.f64 x (-.f64 -1/2 y))
1.0ms	x	@	0	(*.f64 x (-.f64 -1/2 y))
1.0ms	x	@	inf	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
1.0ms	y	@	0	(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))

rewrite233.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1268×	`fma-def`
835×	`log1p-expm1-u`
835×	`expm1-log1p-u`
498×	`fma-neg`
412×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	52
1	234	47
2	3469	43

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(*.f64 x (-.f64 -1/2 y))

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) z))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 x 1/2) (fma.f64 x y z))) (/.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))
(*.f64 (fma.f64 x (+.f64 1/2 y) z) 1)
(*.f64 1 (fma.f64 x (+.f64 1/2 y) z))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2) (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)) (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z)) (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (*.f64 x 1/2) (fma.f64 x y z)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))
(/.f64 (fma.f64 x (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 x (-.f64 (.f64 x y) z) (.f64 2 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)))) (.f64 2 (-.f64 (*.f64 x y) z)))
(/.f64 (+.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 (/.f64 2 x) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 (/.f64 2 x) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (+.f64 (-.f64 (.f64 x y) z) (.f64 (/.f64 2 x) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)))) (.f64 (/.f64 2 x) (-.f64 (*.f64 x y) z)))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 -2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 -2 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 (.f64 x y) z) (.f64 -2 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)))) (.f64 -2 (-.f64 (*.f64 x y) z)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) 2 (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) x)) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) 2))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 2 x) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) 1)) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) (/.f64 2 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) -2 (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (neg.f64 x))) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) -2))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) 2 (.f64 (-.f64 (.f64 x y) z) x)) (.f64 (-.f64 (*.f64 x y) z) 2))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 2 x) (.f64 (-.f64 (.f64 x y) z) 1)) (.f64 (-.f64 (*.f64 x y) z) (/.f64 2 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) -2 (.f64 (-.f64 (.f64 x y) z) (neg.f64 x))) (.f64 (-.f64 (*.f64 x y) z) -2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (fma.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y)) (-.f64 (pow.f64 z 2) (.f64 (*.f64 x (+.f64 1/2 y)) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (pow.f64 z 2)) (-.f64 (.f64 x (+.f64 1/2 y)) z))
(pow.f64 (fma.f64 x (+.f64 1/2 y) z) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 1/2 y) z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 1/2 y) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) z)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) z)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 1/2 y) z)))
(fma.f64 x y (+.f64 z (*.f64 x 1/2)))
(fma.f64 x 1/2 (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (*.f64 x 1/2) 1 (fma.f64 x y z))
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
(fma.f64 (.f64 x y) 1 (+.f64 z (.f64 x 1/2)))
(fma.f64 z 1 (*.f64 x (+.f64 1/2 y)))
(fma.f64 (fma.f64 x y z) 1 (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))
(fma.f64 1 (.f64 x y) (+.f64 z (.f64 x 1/2)))
(fma.f64 1 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x (+.f64 1/2 y)) z)
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (fma.f64 x y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (neg.f64 x) -1/2 (fma.f64 x y z))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2))) (.f64 x 1/2))
(fma.f64 1/2 x (fma.f64 x y z))
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 1 (-.f64 (.f64 x y) z)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (+.f64 1/2 y)) 1 z)
(fma.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (cbrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 z (.f64 x 1/2)))
(+.f64 (.f64 x -1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1/2 x) (.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y -1/2))
(/.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (-.f64 -1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 -1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1/2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 -1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1/2 y))))
(fma.f64 x -1/2 (*.f64 x (neg.f64 y)))
(fma.f64 -1/2 x (*.f64 (neg.f64 y) x))

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1840×	`fma-def`
1324×	`distribute-lft-in`
1314×	`distribute-rgt-in`
844×	`unswap-sqr`
414×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	6488
1	765	6285
2	2313	6175

Stop Event

1×	node limit

Counts

168 → 156

Calls

Call 1

Inputs
z
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(+.f64 z (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))))
(+.f64 z (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))))
(+.f64 z (.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2))))
(+.f64 z (*.f64 1/2 x))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(*.f64 x y)
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(*.f64 x y)
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
z
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
z
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(+.f64 z (+.f64 (.f64 1/2 x) (.f64 x y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) z))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 x 1/2) (fma.f64 x y z))) (/.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))
(*.f64 (fma.f64 x (+.f64 1/2 y) z) 1)
(*.f64 1 (fma.f64 x (+.f64 1/2 y) z))
(*.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2) (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)))
(*.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)) (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (/.f64 1 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/4))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2)) (/.f64 1 (-.f64 (*.f64 x 1/2) (fma.f64 x y z))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z)) (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (+.f64 (pow.f64 (fma.f64 x y z) 2) (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (*.f64 x 1/2) (fma.f64 x y z)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))
(/.f64 (fma.f64 x (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 2 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 x (-.f64 (.f64 x y) z) (.f64 2 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)))) (.f64 2 (-.f64 (*.f64 x y) z)))
(/.f64 (+.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 (/.f64 2 x) (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 (/.f64 2 x) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (+.f64 (-.f64 (.f64 x y) z) (.f64 (/.f64 2 x) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)))) (.f64 (/.f64 2 x) (-.f64 (*.f64 x y) z)))
(/.f64 (fma.f64 (neg.f64 x) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (.f64 -2 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)))) (.f64 -2 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 (.f64 x y) z) (.f64 -2 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)))) (.f64 -2 (-.f64 (*.f64 x y) z)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) 2 (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) x)) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) 2))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 2 x) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) 1)) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) (/.f64 2 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) -2 (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2)) (neg.f64 x))) (.f64 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2)) -2))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) 2 (.f64 (-.f64 (.f64 x y) z) x)) (.f64 (-.f64 (*.f64 x y) z) 2))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 2 x) (.f64 (-.f64 (.f64 x y) z) 1)) (.f64 (-.f64 (*.f64 x y) z) (/.f64 2 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) -2 (.f64 (-.f64 (.f64 x y) z) (neg.f64 x))) (.f64 (-.f64 (*.f64 x y) z) -2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (fma.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y)) (-.f64 (pow.f64 z 2) (.f64 (*.f64 x (+.f64 1/2 y)) z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (pow.f64 z 2)) (-.f64 (.f64 x (+.f64 1/2 y)) z))
(pow.f64 (fma.f64 x (+.f64 1/2 y) z) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 3)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 2))
(log.f64 (exp.f64 (fma.f64 x (+.f64 1/2 y) z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 1/2 y) z))))
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) z)))
(exp.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) z)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 1/2 y) z)))
(fma.f64 x y (+.f64 z (*.f64 x 1/2)))
(fma.f64 x 1/2 (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (*.f64 x 1/2) 1 (fma.f64 x y z))
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
(fma.f64 (.f64 x y) 1 (+.f64 z (.f64 x 1/2)))
(fma.f64 z 1 (*.f64 x (+.f64 1/2 y)))
(fma.f64 (fma.f64 x y z) 1 (*.f64 x 1/2))
(fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))
(fma.f64 1 (.f64 x y) (+.f64 z (.f64 x 1/2)))
(fma.f64 1 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))
(fma.f64 1 (*.f64 x (+.f64 1/2 y)) z)
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (fma.f64 x y z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (+.f64 1/2 y)))
(fma.f64 (neg.f64 x) -1/2 (fma.f64 x y z))
(fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2))) (.f64 x 1/2))
(fma.f64 1/2 x (fma.f64 x y z))
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 1 (-.f64 (.f64 x y) z)) (*.f64 x 1/2))
(fma.f64 (*.f64 x (+.f64 1/2 y)) 1 z)
(fma.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (cbrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 z (.f64 x 1/2)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 z (.f64 x 1/2)))
(+.f64 (.f64 x -1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1/2 x) (.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y)))) 1)
(/.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y -1/2))
(/.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y -1/2))
(pow.f64 (*.f64 x (-.f64 -1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1/2 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1/2 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 -1/2 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1/2 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1/2 y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1/2 y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 -1/2 y))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1/2 y))))
(fma.f64 x -1/2 (*.f64 x (neg.f64 y)))
(fma.f64 -1/2 x (*.f64 (neg.f64 y) x))

Outputs
z
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(*.f64 x (+.f64 1/2 y))
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
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(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 2 x) (.f64 (-.f64 (.f64 x y) z) 1)) (.f64 (-.f64 (*.f64 x y) z) (/.f64 2 x)))
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 2 x) (-.f64 (.f64 x y) z)) (.f64 (-.f64 (.f64 x y) z) (/.f64 2 x)))
(.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 2 x) (-.f64 (.f64 x y) z)) (.f64 2 (-.f64 (*.f64 x y) z))) x)
(.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 2 x) (fma.f64 x y (neg.f64 z))) (*.f64 2 (fma.f64 x y (neg.f64 z)))) x)
(/.f64 (fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) -2 (.f64 (-.f64 (.f64 x y) z) (neg.f64 x))) (.f64 (-.f64 (*.f64 x y) z) -2))
(/.f64 (fma.f64 (neg.f64 x) (-.f64 (.f64 x y) z) (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) -2)) (.f64 (-.f64 (*.f64 x y) z) -2))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) -2) (.f64 x (-.f64 (.f64 x y) z))) (.f64 (-.f64 (.f64 x y) z) -2))
(/.f64 (-.f64 (.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) -2) (.f64 x (fma.f64 x y (neg.f64 z)))) (.f64 (fma.f64 x y (neg.f64 z)) -2))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3))) (neg.f64 (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (.f64 (pow.f64 x 2) 1/4))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) 1) (fma.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y z) (.f64 x 1/2)) (*.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (fma.f64 (fma.f64 x y z) (+.f64 (.f64 x -1/2) (fma.f64 x y z)) (.f64 (pow.f64 x 2) 1/4)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (fma.f64 x y z) 3)) (fma.f64 (pow.f64 x 2) 1/4 (*.f64 (fma.f64 x y z) (fma.f64 x -1/2 (fma.f64 x y z)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2))) (neg.f64 (-.f64 (.f64 x 1/2) (fma.f64 x y z))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (fma.f64 x y z) 2)) (fma.f64 x -1/2 (fma.f64 x y z)))
(/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3) (pow.f64 z 3)) (fma.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y)) (-.f64 (pow.f64 z 2) (.f64 (*.f64 x (+.f64 1/2 y)) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (fma.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y)) (-.f64 (pow.f64 z 2) (.f64 z (*.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (fma.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (.f64 z (-.f64 z (.f64 x (+.f64 1/2 y))))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 x (+.f64 1/2 y)) 3)) (fma.f64 z (+.f64 z (.f64 x (-.f64 -1/2 y))) (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x y z) 2) (.f64 (pow.f64 x 2) 1/4)) (-.f64 (fma.f64 x y z) (.f64 x 1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (fma.f64 x y z) 2)) (-.f64 (.f64 x 1/2) (fma.f64 x y z)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/4 (pow.f64 (fma.f64 x y z) 2)) (fma.f64 x -1/2 (fma.f64 x y z)))
(/.f64 (-.f64 (.f64 (.f64 x (+.f64 1/2 y)) (.f64 x (+.f64 1/2 y))) (pow.f64 z 2)) (-.f64 (.f64 x (+.f64 1/2 y)) z))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) (.f64 (+.f64 1/2 y) (+.f64 1/2 y))) (pow.f64 z 2)) (fma.f64 x (+.f64 1/2 y) (neg.f64 z)))
(/.f64 (-.f64 (.f64 (+.f64 1/2 y) (.f64 (+.f64 1/2 y) (pow.f64 x 2))) (pow.f64 z 2)) (-.f64 (*.f64 x (+.f64 1/2 y)) z))
(/.f64 (-.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2) (pow.f64 z 2)) (fma.f64 x (+.f64 1/2 y) (neg.f64 z)))
(pow.f64 (fma.f64 x (+.f64 1/2 y) z) 1)
(fma.f64 x (+.f64 1/2 y) z)
(pow.f64 (cbrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 3)
(fma.f64 x (+.f64 1/2 y) z)
(pow.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 3) 1/3)
(fma.f64 x (+.f64 1/2 y) z)
(pow.f64 (sqrt.f64 (fma.f64 x (+.f64 1/2 y) z)) 2)
(fma.f64 x (+.f64 1/2 y) z)
(sqrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 2))
(fma.f64 x (+.f64 1/2 y) z)
(log.f64 (exp.f64 (fma.f64 x (+.f64 1/2 y) z)))
(fma.f64 x (+.f64 1/2 y) z)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (+.f64 1/2 y) z))))
(fma.f64 x (+.f64 1/2 y) z)
(cbrt.f64 (pow.f64 (fma.f64 x (+.f64 1/2 y) z) 3))
(fma.f64 x (+.f64 1/2 y) z)
(expm1.f64 (log1p.f64 (fma.f64 x (+.f64 1/2 y) z)))
(fma.f64 x (+.f64 1/2 y) z)
(exp.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) z)))
(fma.f64 x (+.f64 1/2 y) z)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 1/2 y) z)) 1))
(fma.f64 x (+.f64 1/2 y) z)
(log1p.f64 (expm1.f64 (fma.f64 x (+.f64 1/2 y) z)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 x y (+.f64 z (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 x 1/2 (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (*.f64 x 1/2) 1 (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (.f64 x y) 1 (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 z 1 (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (fma.f64 x y z) 1 (*.f64 x 1/2))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 1 (*.f64 x 1/2) (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 1 (.f64 x y) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 1 z (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 1 (fma.f64 x y z) (*.f64 x 1/2))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 1 (*.f64 x (+.f64 1/2 y)) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (cbrt.f64 (fma.f64 x y z)) (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (*.f64 x 1/2))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x y z)) 2) (cbrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (+.f64 z (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 (fma.f64 x y z)) (sqrt.f64 (fma.f64 x y z)) (*.f64 x 1/2))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (+.f64 z (*.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/2) (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (+.f64 1/2 y)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (neg.f64 x) -1/2 (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (/.f64 1 (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (.f64 x y) 2))) (.f64 x 1/2))
(fma.f64 x 1/2 (/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 z 3)) (fma.f64 z (-.f64 z (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(fma.f64 1/2 x (fma.f64 x y z))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 z 2)) (/.f64 1 (-.f64 (.f64 x y) z)) (*.f64 x 1/2))
(fma.f64 x 1/2 (/.f64 (-.f64 (pow.f64 (*.f64 x y) 2) (pow.f64 z 2)) (fma.f64 x y (neg.f64 z))))
(fma.f64 (*.f64 x (+.f64 1/2 y)) 1 z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y))) (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (cbrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y))) (sqrt.f64 (.f64 x (+.f64 1/2 y))) z)
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 z (.f64 x 1/2)))
(fma.f64 x (+.f64 1/2 y) z)
(+.f64 (.f64 x -1/2) (.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 -1/2 x) (.f64 (neg.f64 y) x))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y)))) 1)
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(/.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 x (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (-.f64 -1/8 (pow.f64 y 3))))
(/.f64 (-.f64 -1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x))
(*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)) x)
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 y -1/2))
(/.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 (+.f64 y -1/2) x))
(*.f64 (/.f64 x (+.f64 y -1/2)) (-.f64 1/4 (pow.f64 y 2)))
(/.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 y -1/2) 1/4))
(/.f64 x (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) (-.f64 -1/8 (pow.f64 y 3))))
(/.f64 (-.f64 -1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x))
(*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)) x)
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 y -1/2))
(/.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 (+.f64 y -1/2) x))
(*.f64 (/.f64 x (+.f64 y -1/2)) (-.f64 1/4 (pow.f64 y 2)))
(pow.f64 (*.f64 x (-.f64 -1/2 y)) 1)
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1/2 y))) 3)
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3) 1/3)
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1/2 y))) 2)
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 -1/2 y)))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (-.f64 -1/2 y)))))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (-.f64 -1/2 y) 3)))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 -1/2 y) 3) (pow.f64 x 3)))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y))))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1/2 y))))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 -1/2 y))) 1))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1/2 y))))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(fma.f64 x -1/2 (*.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))
(fma.f64 -1/2 x (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 x) (+.f64 1/2 y))
(*.f64 x (-.f64 -1/2 y))

eval44.0ms (0.9%)

Compiler: Compiled 2622 to 1381 computations (47.3% saved)

prune27.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	149	7	156
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	150	8	158

Accuracy

100.0%

Counts

158 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
	80.1%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	57.9%	(-.f64 z (*.f64 x -1/2))
	62.6%	(+.f64 (.f64 1/2 x) (.f64 x y))
▶	62.6%	(*.f64 x (+.f64 1/2 y))
▶	43.1%	(*.f64 x y)
▶	38.8%	z

Compiler

Compiled 122 to 85 computations (30.3% saved)

localize82.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (+.f64 1/2 y))

Compiler

Compiled 52 to 27 computations (48.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

Operation ival-mult, time spent: 11.0ms, 49.0% of total-time

Operation ival-add, time spent: 5.0ms, 22.0% of total-time

Operation ival-fma, time spent: 3.0ms, 13.0% of total-time

Operation const, time spent: 2.0ms, 9.0% of total-time

Operation ival-sub, time spent: 1.0ms, 4.0% of total-time

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 x (+.f64 1/2 y))
0.0ms	y	@	inf	(*.f64 x (+.f64 1/2 y))
0.0ms	x	@	0	(*.f64 x (+.f64 1/2 y))
0.0ms	x	@	-inf	(*.f64 x (+.f64 1/2 y))
0.0ms	x	@	inf	(*.f64 x (+.f64 1/2 y))

rewrite78.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`unpow-prod-down`
523×	`log1p-expm1-u`
523×	`expm1-log1p-u`
500×	`log-prod`
490×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	106	19
2	1431	19

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(*.f64 x (+.f64 1/2 y))

Outputs
(+.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(+.f64 0 (*.f64 x (+.f64 1/2 y)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 x y) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 1/2 y))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x 1/2) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x 1/2) (.f64 x y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (-.f64 y 1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) x) (fma.f64 y (-.f64 y 1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x 1/2))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 (*.f64 x y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))

simplify65.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1308×	`associate-/r*`
1114×	`fma-def`
566×	`fma-neg`
472×	`cancel-sign-sub-inv`
422×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	1525
1	380	1474
2	1036	1461
3	4204	1459

Stop Event

1×	node limit

Counts

65 → 67

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 x 1/2) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(+.f64 0 (*.f64 x (+.f64 1/2 y)))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 x y) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(-.f64 (+.f64 1 (*.f64 x (+.f64 1/2 y))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x 1/2) (*.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x 1/2) (.f64 x y)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (-.f64 y 1/2) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) x) (fma.f64 y (-.f64 y 1/2) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x 1/2))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x 1/2))
(fma.f64 (.f64 x 1/2) 1 (.f64 (*.f64 x y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(+.f64 0 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 (.f64 x 1/2) 1) (.f64 (.f64 x y) 1))
(*.f64 x (+.f64 1/2 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))))
(*.f64 x (+.f64 1/2 y))
(-.f64 (+.f64 1 (*.f64 x (+.f64 1/2 y))) 1)
(*.f64 x (+.f64 1/2 y))
(/.f64 (+.f64 (pow.f64 (.f64 x 1/2) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x 1/2) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x 1/2) (*.f64 x y)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 1/2 x) 2) (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (.f64 x y) (*.f64 1/2 x)))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (pow.f64 (.f64 1/2 x) 2) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 1/2 x)))))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1/8) (pow.f64 x 3)) (fma.f64 (.f64 x y) (.f64 x (+.f64 y -1/2)) (pow.f64 (.f64 1/2 x) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 y 3) 1/8) (pow.f64 x 3)) (.f64 x (+.f64 (/.f64 x 4) (.f64 (.f64 x y) (+.f64 y -1/2)))))
(/.f64 (-.f64 (pow.f64 (.f64 x 1/2) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x 1/2) (.f64 x y)))
(*.f64 x (+.f64 1/2 y))
(/.f64 (*.f64 x (+.f64 (pow.f64 y 3) 1/8)) (fma.f64 y (-.f64 y 1/2) 1/4))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 (pow.f64 y 3) 1/8))
(*.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(/.f64 (*.f64 (+.f64 (pow.f64 y 3) 1/8) x) (fma.f64 y (-.f64 y 1/2) 1/4))
(/.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x))
(*.f64 (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)) (+.f64 (pow.f64 y 3) 1/8))
(*.f64 (+.f64 (pow.f64 y 3) 1/8) (/.f64 x (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (-.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(pow.f64 (*.f64 x (+.f64 1/2 y)) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2) 1/2)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y))) 2)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (E.f64) (log.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (+.f64 1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 (+.f64 1/2 y)) x))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) 3))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (+.f64 1/2 y)))) 1/3))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 1/2 y)))) 2))
(*.f64 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 1/2 y))))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x y (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1/2 x (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 y x (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x 1/2) 1 (.f64 (*.f64 x y) 1))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))

eval16.0ms (0.3%)

Compiler: Compiled 776 to 489 computations (37% saved)

prune20.0ms (0.4%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	1	1	2
Picked	1	4	5
Done	0	1	1
Total	66	9	75

Accuracy

100.0%

Counts

75 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.6%	(fma.f64 y x (*.f64 x 1/2))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	80.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	57.9%	(-.f64 z (*.f64 x -1/2))
▶	62.6%	(+.f64 (.f64 x y) (.f64 x 1/2))
✓	62.6%	(*.f64 x (+.f64 1/2 y))
✓	43.1%	(*.f64 x y)
▶	21.7%	(*.f64 1/2 x)
✓	38.8%	z

Compiler

Compiled 70 to 50 computations (28.6% saved)

localize78.0ms (1.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x y) (.f64 x 1/2))

Compiler

Compiled 52 to 23 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

Operation ival-mult, time spent: 11.0ms, 53.0% of total-time

Operation ival-fma, time spent: 3.0ms, 15.0% of total-time

Operation ival-add, time spent: 2.0ms, 10.0% of total-time

Operation ival-sub, time spent: 1.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

Operation ival-neg, time spent: 1.0ms, 5.0% of total-time

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 x y) (.f64 x 1/2))
0.0ms	x	@	0	(+.f64 (.f64 x y) (.f64 x 1/2))
0.0ms	x	@	-inf	(+.f64 (.f64 x y) (.f64 x 1/2))
0.0ms	y	@	-inf	(+.f64 (.f64 x y) (.f64 x 1/2))
0.0ms	y	@	inf	(+.f64 (.f64 x y) (.f64 x 1/2))

rewrite85.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`unpow-prod-down`
726×	`fma-def`
636×	`log-prod`
599×	`log1p-expm1-u`
599×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	121	19
2	1642	19

Stop Event

1×	node limit

Counts

1 → 73

Calls

Call 1

Inputs
(+.f64 (.f64 x y) (.f64 x 1/2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 y 1/2))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x (-.f64 y 1/2))))
(*.f64 x (+.f64 y 1/2))
(.f64 (.f64 x (+.f64 y 1/2)) 1)
(.f64 (.f64 x (+.f64 y 1/2)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 x (+.f64 y 1/2)))
(.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 y 1/2)))
(.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 y 1/2)))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (.f64 x (-.f64 y 1/2))))
(*.f64 (+.f64 y 1/2) x)
(.f64 (pow.f64 1 1/3) (.f64 x (+.f64 y 1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 2) 3) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) x) 1/3) (cbrt.f64 (+.f64 y 1/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y 1/2)) (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (.f64 y (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x 1/2) (.f64 x y)))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 (.f64 x y) 1 (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 (.f64 x 1/2) 1 (.f64 x y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x 1/2))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))

simplify106.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1076×	`fma-neg`
1064×	`times-frac`
776×	`log-prod`
610×	`unswap-sqr`
548×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	192	2855
1	497	2771
2	1333	2707
3	6573	2653

Stop Event

1×	node limit

Counts

97 → 97

Calls

Call 1

Inputs
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 y 1/2))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x (-.f64 y 1/2))))
(*.f64 x (+.f64 y 1/2))
(.f64 (.f64 x (+.f64 y 1/2)) 1)
(.f64 (.f64 x (+.f64 y 1/2)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 x (+.f64 y 1/2)))
(.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 y 1/2)))
(.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 y 1/2)))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (.f64 x (-.f64 y 1/2))))
(*.f64 (+.f64 y 1/2) x)
(.f64 (pow.f64 1 1/3) (.f64 x (+.f64 y 1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 2) 3) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 3))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) x) 1/3) (cbrt.f64 (+.f64 y 1/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y 1/2)) (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))))
(/.f64 1 (/.f64 (.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (.f64 y (*.f64 x 1/2))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x 1/2) (.f64 x y)))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))) -1)
(pow.f64 (/.f64 (.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))) -1)
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(fma.f64 x y (*.f64 x 1/2))
(fma.f64 x 1/2 (*.f64 x y))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 (.f64 x y) 1 (.f64 x 1/2))
(fma.f64 1/2 x (*.f64 x y))
(fma.f64 (.f64 x 1/2) 1 (.f64 x y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x 1/2))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x 1/2))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x 1/2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x 1/2))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 1/2))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))

Outputs
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x (+.f64 1/2 y))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(neg.f64 (*.f64 x (fma.f64 -1 y -1/2)))
(*.f64 x (neg.f64 (fma.f64 y -1 -1/2)))
(*.f64 x (neg.f64 (-.f64 -1/2 y)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(neg.f64 (*.f64 x (fma.f64 -1 y -1/2)))
(*.f64 x (neg.f64 (fma.f64 y -1 -1/2)))
(*.f64 x (neg.f64 (-.f64 -1/2 y)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(neg.f64 (*.f64 x (fma.f64 -1 y -1/2)))
(*.f64 x (neg.f64 (fma.f64 y -1 -1/2)))
(*.f64 x (neg.f64 (-.f64 -1/2 y)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 y) 1/2)))
(neg.f64 (*.f64 x (fma.f64 -1 y -1/2)))
(*.f64 x (neg.f64 (fma.f64 y -1 -1/2)))
(*.f64 x (neg.f64 (-.f64 -1/2 y)))
(*.f64 1/2 x)
(*.f64 x 1/2)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(*.f64 x y)
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(+.f64 (.f64 1/2 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2)))) 1)
(*.f64 x (+.f64 1/2 y))
(-.f64 (/.f64 (pow.f64 (.f64 x y) 2) (.f64 x (-.f64 y 1/2))) (/.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 1 x)) (.f64 x 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 y y -1/4)) (.f64 x (+.f64 y -1/2)))
(*.f64 x (+.f64 y 1/2))
(*.f64 x (+.f64 1/2 y))
(.f64 (.f64 x (+.f64 y 1/2)) 1)
(*.f64 x (+.f64 1/2 y))
(.f64 (.f64 x (+.f64 y 1/2)) (log.f64 (exp.f64 1)))
(*.f64 x (+.f64 1/2 y))
(.f64 1 (.f64 x (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) (pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 2))
(*.f64 x (+.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2))) 2) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2))) (sqrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (.f64 1/2 (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x y) 2)))
(.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (/.f64 1 (.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 1 x)) (.f64 x 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 y y -1/4)) (.f64 x (+.f64 y -1/2)))
(*.f64 (+.f64 y 1/2) x)
(*.f64 x (+.f64 1/2 y))
(.f64 (pow.f64 1 1/3) (.f64 x (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 2) 3) (cbrt.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))) 3))
(*.f64 x (+.f64 1/2 y))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3)) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 x (+.f64 1/2 y)) 3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) x) 1/3) (cbrt.f64 (+.f64 y 1/2)))
(.f64 (cbrt.f64 (.f64 x (pow.f64 (*.f64 x (+.f64 1/2 y)) 2))) (cbrt.f64 (+.f64 1/2 y)))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 x (+.f64 y 1/2)) (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (cbrt.f64 (pow.f64 (.f64 x (.f64 (+.f64 1/2 y) (cbrt.f64 (*.f64 x (+.f64 1/2 y))))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 4) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 x (+.f64 1/2 y)))) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (+.f64 1/2 y))) 8)))
(.f64 (pow.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (+.f64 1/2 y)) 5/2)) (cbrt.f64 (sqrt.f64 (*.f64 x (+.f64 1/2 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (.f64 1/2 (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x y) 2)))
(/.f64 1 (/.f64 (.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 1 x)) (.f64 x 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 y y -1/4)) (.f64 x (+.f64 y -1/2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (*.f64 x y) 2)))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (.f64 1/2 (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x y) 2)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (fma.f64 (pow.f64 x 2) 1/4 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 x (.f64 y (*.f64 x 1/2))))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (.f64 1/2 (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x y) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (-.f64 y 1/2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 1 x)) (.f64 x 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 y y -1/4)) (.f64 x (+.f64 y -1/2)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3))) (neg.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (*.f64 x y) 2))))
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (.f64 1/2 (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x y) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4))) (neg.f64 (*.f64 x (-.f64 y 1/2))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 1 x)) (.f64 x 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 y y -1/4)) (.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x 1/2) (.f64 x y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 1 x)) (.f64 x 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 y y -1/4)) (.f64 x (+.f64 y -1/2)))
(pow.f64 (*.f64 x (+.f64 y 1/2)) 1)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (+.f64 y 1/2))) 3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2) 1/2)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3) 1/3)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (+.f64 y 1/2))) 2)
(*.f64 x (+.f64 1/2 y))
(pow.f64 (/.f64 (fma.f64 (.f64 x 1/2) (-.f64 (.f64 x 1/2) (.f64 x y)) (pow.f64 (.f64 x y) 2)) (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (*.f64 x y) 3))) -1)
(.f64 (fma.f64 (pow.f64 x 3) 1/8 (pow.f64 (.f64 x y) 3)) (/.f64 1 (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (*.f64 x y) 2))))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 (.f64 x 1/2) (.f64 x (-.f64 1/2 y)) (pow.f64 (.f64 x y) 2)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 1/8 (pow.f64 y 3))) (fma.f64 x (.f64 1/2 (.f64 x (-.f64 1/2 y))) (pow.f64 (.f64 x y) 2)))
(pow.f64 (/.f64 (.f64 x (-.f64 y 1/2)) (-.f64 (pow.f64 (.f64 x y) 2) (*.f64 (pow.f64 x 2) 1/4))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) 1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 2) (.f64 (pow.f64 x 2) -1/4)) (*.f64 x (+.f64 y -1/2)))
(/.f64 (-.f64 (/.f64 (.f64 y y) (/.f64 1 x)) (.f64 x 1/4)) (+.f64 y -1/2))
(/.f64 (.f64 (pow.f64 x 2) (fma.f64 y y -1/4)) (.f64 x (+.f64 y -1/2)))
(sqrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 2))
(*.f64 x (+.f64 1/2 y))
(log.f64 (pow.f64 (exp.f64 x) (+.f64 y 1/2)))
(*.f64 x (+.f64 1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (+.f64 y 1/2)) 3))
(*.f64 x (+.f64 1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (log.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 y 1/2))) 1))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (+.f64 y 1/2))) 1) 1))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (+.f64 y 1/2)))) 3))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (+.f64 y 1/2)) 3)) 1/3))
(*.f64 x (+.f64 1/2 y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (+.f64 y 1/2)))) 2))
(*.f64 x (+.f64 1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (+.f64 y 1/2))))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x y (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 x 1/2 (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 y x (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x y) 1 (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1/2 x (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x 1/2) 1 (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (.f64 x y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 1 (.f64 x 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 (.f64 x 1/2)) (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) 2) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) 1/2) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x 1/2))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))
(fma.f64 (.f64 1/2 (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(*.f64 x (+.f64 1/2 y))

eval33.0ms (0.7%)

Compiler: Compiled 1268 to 817 computations (35.6% saved)

prune67.0ms (1.4%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	4	4
Done	0	5	5
Total	97	9	106

Accuracy

100.0%

Counts

106 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.6%	(fma.f64 y x (*.f64 x 1/2))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	80.1%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	57.9%	(-.f64 z (*.f64 x -1/2))
✓	62.6%	(+.f64 (.f64 x y) (.f64 x 1/2))
✓	62.6%	(*.f64 x (+.f64 1/2 y))
✓	43.1%	(*.f64 x y)
✓	21.7%	(*.f64 1/2 x)
✓	38.8%	z

Compiler

Compiled 149 to 91 computations (38.9% saved)

regimes100.0ms (2%)

Counts

13 → 1

Calls

Call 1

Inputs
z
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (+.f64 1/2 y))
(-.f64 z (*.f64 x -1/2))
(-.f64 z (*.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(fma.f64 y x (*.f64 x 1/2))
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))

Outputs
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))

Calls

5 calls:

63.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
16.0ms	x
7.0ms	z
7.0ms	y
6.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes95.0ms (1.9%)

Counts

12 → 1

Calls

Call 1

Inputs
z
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (+.f64 1/2 y))
(-.f64 z (*.f64 x -1/2))
(-.f64 z (*.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (/.f64 x 2) (+.f64 (*.f64 x y) z))
(fma.f64 y x (*.f64 x 1/2))

Outputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Calls

5 calls:

55.0ms	z
20.0ms	x
7.0ms	y
6.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
6.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes19.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

Inputs
z
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (+.f64 1/2 y))
(-.f64 z (*.f64 x -1/2))
(-.f64 z (*.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))

Outputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))

Calls

3 calls:

7.0ms	x
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes140.0ms (2.8%)

Counts

8 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (+.f64 1/2 y))
(-.f64 z (*.f64 x -1/2))
(-.f64 z (*.f64 x (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 x y))
(+.f64 (.f64 x y) (.f64 x 1/2))

Outputs
(-.f64 z (*.f64 x (neg.f64 y)))
(-.f64 z (*.f64 x -1/2))
(-.f64 z (*.f64 x (neg.f64 y)))

Calls

3 calls:

67.0ms	x
58.0ms	y
14.0ms	z

Results

Accuracy	Segments	Branch
90.1%	3	`x`
98.7%	3	`y`
88.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes87.0ms (1.8%)

Counts

5 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (+.f64 1/2 y))
(-.f64 z (*.f64 x -1/2))

Outputs
(*.f64 x (+.f64 1/2 y))
(-.f64 z (*.f64 x -1/2))
(*.f64 x (+.f64 1/2 y))

Calls

3 calls:

51.0ms	x
20.0ms	z
16.0ms	y

Results

Accuracy	Segments	Branch
79.9%	5	`z`
83.4%	5	`x`
87.9%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes36.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)
(*.f64 x y)
(*.f64 x (+.f64 1/2 y))

Outputs
(*.f64 x (+.f64 1/2 y))
z
(*.f64 x (+.f64 1/2 y))

Calls

2 calls:

21.0ms	y
14.0ms	x

Results

Accuracy	Segments	Branch
79.7%	3	`x`
71.5%	5	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes60.0ms (1.2%)

Counts

3 → 5

Calls

Call 1

Inputs
z
(*.f64 1/2 x)
(*.f64 x y)

Outputs
(*.f64 x y)
z
(*.f64 1/2 x)
z
(*.f64 x y)

Calls

3 calls:

21.0ms	y
20.0ms	z
18.0ms	x

Results

Accuracy	Segments	Branch
71.4%	5	`y`
62.1%	5	`z`
63.5%	5	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes99.0ms (2%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 1/2 x)

Outputs
(*.f64 1/2 x)
z
(*.f64 1/2 x)

Calls

3 calls:

59.0ms	y
31.0ms	x
8.0ms	z

Results

Accuracy	Segments	Branch
47.3%	3	`z`
48.3%	3	`x`
41.1%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

2 calls:

3.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
38.8%	1	`z`
38.8%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch74.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.16413103235402005	10.39841097769946
60.0ms	-7472.48751572396	-2225.1879131397714

Results

70.0ms	191×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 246 to 181 computations (26.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-div, time spent: 2.0ms, 39.0% of total-time

Operation ival-add, time spent: 2.0ms, 39.0% of total-time

Operation ival-mult, time spent: 1.0ms, 20.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch66.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	6109861367348666.0	7181915080484686.0
62.0ms	-1079820890412.0721	-125480766214.53326

Results

13.0ms	122×	256	valid
51.0ms	5×	256	infinite
0.0ms	1×	256	infinite

Compiler

Compiled 162 to 125 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

Operation ival-add, time spent: 51.0ms, 95.0% of total-time

Operation ival-div, time spent: 1.0ms, 2.0% of total-time

Operation ival-mult, time spent: 1.0ms, 2.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch36.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8.86998244420484e-157	1.1973505737658516e-150
17.0ms	-5.641826057395163e-134	-3.4069904237398324e-137

Results

31.0ms	271×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 256 to 200 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-add, time spent: 4.0ms, 46.0% of total-time

Operation ival-div, time spent: 2.0ms, 23.0% of total-time

Operation ival-mult, time spent: 2.0ms, 23.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch54.0ms (1.1%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
4.0ms	6109861367348666.0	7181915080484686.0
14.0ms	-1.5583362975883288e-164	-9.361477580282411e-166
23.0ms	-1.211113995295972e-105	-1.4372528804727223e-118
13.0ms	-1079820890412.0721	-125480766214.53326

Results

45.0ms	394×	256	valid
1.0ms	5×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 318 to 255 computations (19.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

Operation ival-div, time spent: 4.0ms, 35.0% of total-time

Operation ival-add, time spent: 4.0ms, 35.0% of total-time

Operation ival-mult, time spent: 3.0ms, 26.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

bsearch30.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.7041094149131547e+139	5.575360850337563e+141
13.0ms	-1.7454430281969292e-17	-1.9794851567561638e-18

Results

23.0ms	194×	256	valid
3.0ms	29×	256	infinite
0.0ms	1×	256	valid

Compiler

Compiled 186 to 153 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-div, time spent: 2.0ms, 33.0% of total-time

Operation ival-add, time spent: 2.0ms, 33.0% of total-time

Operation ival-mult, time spent: 2.0ms, 33.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

142×	`unsub-neg`
140×	`distribute-lft-neg-in`
96×	`neg-mul-1`
80×	`cancel-sign-sub`
66×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	438
1	116	434
2	150	434
3	189	434
4	237	434
5	282	434
6	373	434
7	461	434
8	503	434
9	537	434
10	566	434
11	571	434
12	582	434

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(if (<=.f64 y -2300) (-.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 1/2) (-.f64 z (.f64 x -1/2)) (-.f64 z (*.f64 x (neg.f64 y)))))
(if (<=.f64 y -720000000000) (.f64 x (+.f64 1/2 y)) (if (<=.f64 y 6500000000000000) (-.f64 z (.f64 x -1/2)) (*.f64 x (+.f64 1/2 y))))
(if (<=.f64 x -5523846650824739/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 3538089773270195/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) z (.f64 x (+.f64 1/2 y))))
(if (<=.f64 y -640000000000) (.f64 x y) (if (<=.f64 y -3215376232195769/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) z (if (<=.f64 y -7718098958118647/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (.f64 1/2 x) (if (<=.f64 y 6200000000000000) z (*.f64 x y)))))
(if (<=.f64 x -2076918743413931/162259276829213363391578010288128) (.f64 1/2 x) (if (<=.f64 x 23500000000000000441248734101191463380237141293065354930337024034939945019797120258081135299095921285478208142573934812302633517392290906112) z (.f64 1/2 x)))
z

Outputs
(fma.f64 y x (+.f64 z (*.f64 x 1/2)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 z (+.f64 (/.f64 x 2) (*.f64 y x)))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 z (*.f64 x (-.f64 y -1/2)))
(if (<=.f64 y -2300) (-.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 1/2) (-.f64 z (.f64 x -1/2)) (-.f64 z (*.f64 x (neg.f64 y)))))
(if (or (<=.f64 y -2300) (not (<=.f64 y 1/2))) (-.f64 z (.f64 x (neg.f64 y))) (-.f64 z (.f64 x -1/2)))
(if (or (<=.f64 y -2300) (not (<=.f64 y 1/2))) (+.f64 z (.f64 y x)) (-.f64 z (.f64 x -1/2)))
(if (<=.f64 y -720000000000) (.f64 x (+.f64 1/2 y)) (if (<=.f64 y 6500000000000000) (-.f64 z (.f64 x -1/2)) (*.f64 x (+.f64 1/2 y))))
(if (or (<=.f64 y -720000000000) (not (<=.f64 y 6500000000000000))) (.f64 x (+.f64 y 1/2)) (-.f64 z (.f64 x -1/2)))
(if (<=.f64 x -5523846650824739/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (.f64 x (+.f64 1/2 y)) (if (<=.f64 x 3538089773270195/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936) z (.f64 x (+.f64 1/2 y))))
(if (or (<=.f64 x -5523846650824739/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (not (<=.f64 x 3538089773270195/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936))) (*.f64 x (+.f64 y 1/2)) z)
(if (<=.f64 y -640000000000) (.f64 x y) (if (<=.f64 y -3215376232195769/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) z (if (<=.f64 y -7718098958118647/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (.f64 1/2 x) (if (<=.f64 y 6200000000000000) z (*.f64 x y)))))
(if (<=.f64 y -640000000000) (.f64 y x) (if (<=.f64 y -3215376232195769/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072) z (if (<=.f64 y -7718098958118647/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (.f64 x 1/2) (if (<=.f64 y 6200000000000000) z (*.f64 y x)))))
(if (<=.f64 x -2076918743413931/162259276829213363391578010288128) (.f64 1/2 x) (if (<=.f64 x 23500000000000000441248734101191463380237141293065354930337024034939945019797120258081135299095921285478208142573934812302633517392290906112) z (.f64 1/2 x)))
(if (or (<=.f64 x -2076918743413931/162259276829213363391578010288128) (not (<=.f64 x 23500000000000000441248734101191463380237141293065354930337024034939945019797120258081135299095921285478208142573934812302633517392290906112))) (*.f64 x 1/2) z)
z

Compiler

Compiled 145 to 99 computations (31.7% saved)

soundness1.1s (21.5%)

Rules

2916×	`fma-def`
2916×	`fma-def`
1840×	`fma-def`
1840×	`fma-def`
1324×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	375
2	274	371
3	804	323
4	1692	297
5	2827	297
6	3301	292
7	3465	292
8	3573	292
9	3608	292
10	3616	276
11	4174	276
12	4174	276
13	4174	276
0	17	52
1	234	47
2	3469	43
0	40	435
1	99	375
2	274	371
3	804	323
4	1692	297
5	2827	297
6	3301	292
7	3465	292
8	3573	292
9	3608	292
10	3616	276
11	4174	276
12	4174	276
13	4174	276
0	305	6488
1	765	6285
2	2313	6175
0	305	6488
1	765	6285
2	2313	6175

Stop Event

1×	node limit
1×	node limit
1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 279 to 149 computations (46.6% saved)

end0.0ms (0%)

preprocess118.0ms (2.4%)

Compiler: Compiled 266 to 162 computations (39.1% saved)

Iter	Nodes	Cost
0	71	438
1	116	434
2	150	434
3	189	434
4	237	434
5	282	434
6	373	434
7	461	434
8	503	434
9	537	434
10	566	434
11	571	434
12	582	434

Iter	Nodes	Cost
0	71	438
1	116	434
2	150	434
3	189	434
4	237	434
5	282	434
6	373	434
7	461	434
8	503	434
9	537	434
10	566	434
11	571	434
12	582	434

analyze0.0ms (0%)

sample1.3s (26.8%)

preprocess337.0ms (6.9%)

eval1.0ms (0%)

prune37.0ms (0.8%)

localize64.0ms (1.3%)

series10.0ms (0.2%)

rewrite233.0ms (4.7%)

simplify99.0ms (2%)

eval44.0ms (0.9%)

prune27.0ms (0.5%)

localize82.0ms (1.7%)

series1.0ms (0%)

rewrite78.0ms (1.6%)

simplify65.0ms (1.3%)

eval16.0ms (0.3%)

prune20.0ms (0.4%)

localize78.0ms (1.6%)

series1.0ms (0%)

rewrite85.0ms (1.7%)

simplify106.0ms (2.2%)

eval33.0ms (0.7%)

prune67.0ms (1.4%)

regimes100.0ms (2%)

regimes95.0ms (1.9%)

regimes19.0ms (0.4%)

regimes140.0ms (2.8%)

regimes87.0ms (1.8%)

regimes36.0ms (0.7%)

regimes60.0ms (1.2%)

regimes99.0ms (2%)

regimes5.0ms (0.1%)

bsearch74.0ms (1.5%)

bsearch66.0ms (1.3%)

bsearch36.0ms (0.7%)

bsearch54.0ms (1.1%)

bsearch30.0ms (0.6%)

simplify37.0ms (0.8%)

soundness1.1s (21.5%)

end0.0ms (0%)

preprocess118.0ms (2.4%)

Profiling

Iter	Nodes	Cost
0	71	438
1	116	434
2	150	434
3	189	434
4	237	434
5	282	434
6	373	434
7	461	434
8	503	434
9	537	434
10	566	434
11	571	434
12	582	434